21058465536 has 288 divisors, whose sum is σ = 65266555200. Its totient is φ = 6772211712.

The previous prime is 21058465517. The next prime is 21058465553. The reversal of 21058465536 is 63556485012.

21058465536 is a `hidden beast` number, since 2 + 1 + 0 + 58 + 4 + 65 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 21058465491 and 21058465500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16235640 + ... + 16236936.

Almost surely, 2^21058465536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21058465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32633277600).

21058465536 is an abundant number, since it is smaller than the sum of its proper divisors (44208089664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21058465536 is an frugal number, since it uses more digits than its factorization.

21058465536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 21058465536 in words is "twenty-one billion, fifty-eight million, four hundred sixty-five thousand, five hundred thirty-six".